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Faculty

Dr. Yogi ErlanggaDr. Yogi Ahmad Erlangga
Assist. Professor of Mathematics
College of Science
Alfaisal University
Riyadh, KSA

Email: YErlangga@alfaisal.edu   
Tel : +(966-1) 215-7725 office

 

Education:    
PhD 2005 Technishe Universiteit Delft, Netherlands, Applied Mathematics
M.Sc. 2001 Technishe Universiteit Delft, Netherlands, Applied Mathematics
B.Sc. 1998 Institut Teknologi Bandung, Indonesia, Aerospace Engineering
     


Research Interests:

  • Linear algebra and matrix analysis
  • Numerical analysis and numerical linear algebra
  • Fast iterative methods (Krylov, multigrid, and domain-decomposition)
  • PDE-constrained optimization

Current projects:

  • Algebraic multilevel Krylov methods for systems of PDEs
  • High order discretization for hyperbolic PDEs
  • Gauss-Newton-Krylov methods in PDE-constrained optimization

Publications: (Last five years )
Refereed journal papers:

  • Y. A. Erlangga, On multilevel Krylov methods for the biharmonic equation, 2010
  • Y. A. Erlangga, E. Turkel, Iterative scheme for higher order discretization to the exterior Helmholtz equation, to appear in Mathematical Modeling and Numerical Analysis. In honor to Prof. David Gottlieb, 2010
  • Y.A. Erlangga and R. Nabben, Algebraic multilevel Krylov methods, SIAM Journal on Scientific Computing, 31 (2009), pp. 3417-3437.
  • F. J. Herrmann, Y.A. Erlangga, and T.T.Y. Lin, Compressed simultaneous full-wavefield simulation, Geophysics, 74 (2009), pp. A35-A40.
  • F. J. Herrmann, C. R. Brown, Y. A. Erlangga, and P. P. Moghaddam, Curvelet-based migration preconditioning and scaling, Geophysics 74 (2009), pp. A41-A46.
  • J.M. Tang , R. Nabben, C. Vuik, and Y.A. Erlangga, Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods, Journal of Scientific Computing, 39 (2009), pp. 340-370.
  • Yogi A. Erlangga and Reinhard Nabben, On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian, Electronic Transaction on Numerical Analysis, 2008 (31) pp. 203-234.
  • Y.A. Erlangga and R. Nabben, Multilevel projection-based nested Krylov iteration for boundary value problems. SIAM Journal on Scientific Computing, 30 (2008), pp. 1572-1595.
  • Y.A. Erlangga and R. Nabben, Deflation and balancing preconditioners for Krylov subspace methods applied to nonsymmetric matrices. SIAM Journal on Matrix Analysis, 30 (2008), pp. 684-699.
  • Y.A. Erlangga, Advances in iterative methods and preconditioners for the Helmholtz equation. Archives of Computational Methods in Engineering, 15 (2008), pp. 37-66 (invited review paper).
  • C.D. Riyanti, A. Kononov, Y.A. Erlangga, C. Vuik, C.W. Oosterlee, W.A. Mulder, and R.E. Plessix, A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation, Journal of Computational Physics, 224 (2007), pp. 431-448.
  • M.B. van Gijzen, Y.A. Erlangga, and C. Vuik, Spectral analysis of the discrete Helmholtz operator preconditioned with a shifted Laplacian, SIAM Journal on Scientific Computing, 29 (2006), pp. 1942-1958.
  • C.D. Riyanti, Y.A. Erlangga, R.E. Plessix, W.A. Mulder, C. Vuik, and C.W. Oosterlee, A new iterative solver for the time-harmonic wave equation applied in seismic problems, Geophysics, 71 (2006), pp. E57-E63.
  • Y.A. Erlangga, C.W. Oosterlee, and C. Vuik, A novel multigrid-based preconditioner for the heterogeneous Helmholtz equation, SIAM Journal on Scientific Computing, 27 (2006), pp. 1471-1492.
  • Y.A. Erlangga, C. Vuik, and C.W. Oosterlee, Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation, Applied Numerical Mathematics, 56 (2006), pp. 648-666.
  • Y.A. Erlangga, C. Vuik, and C.W. Oosterlee, On a class of preconditioners for the Helmholtz equation, Applied Numerical Mathematics, 50 (2004), pp. 409-425.

Teaching:

Alfaisal University (Riyadh, KSA) (2008-present)
Undergraduate courses:

  • MAT 211: Calculus III (Fall 2010)
  • MAT 231: Linear Algebra (Fall 2010)
  • MAT 110 Calculus (Spring 2010)
  • MAT 212 Numerical Analysis (Spring 2010)
  • EOS 353 Seismology, University of British Columbia, Canada
  • AE 1011 Theoretical Fluid Dynamics, Institut Teknologi Bandung, Indonesia
  • Introduction to Computational Fluid Dynamics, Institut Teknologi Bandung, Indonesia
  • Wi 3097 Numerical Analysis, Technische Universiteit Delft, Netherlands
  • Wi 2138 Differential Equations, Technische Universiteit Delft, Netherlands

Miscellaneous:

  • My paper with Kees Vuik and Kees Oosterlee: A novel multigrid based preconditioner for heterogeneous Helmholtz problems SIAM J SCI COMPUT, 27 (4): 1471-1492, 2006, is the Emerging Research Front paper and is selected as a highly-cited paper in Mathematics, according to Essential Science IndicatorsSM , October 2010.
  • With an undergrad student, I currently work on a project to design, manufacture, and flight-test a remotely piloted vehicle. The design phase has been completed. The plane has a span of 2 m and is designed to carry up to 10 kg of payload.
  • In 2006, my PhD thesis is selected by NMC as the 2005 best thesis appeared in The Netherlands in the area of solid and fluid mechanics. It is also the 2005 ECCOMAS best thesis nominee.
 

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